1606080960 has 560 divisors, whose sum is σ = 6426110592. Its totient is φ = 377395200.

The previous prime is 1606080923. The next prime is 1606080977. The reversal of 1606080960 is 690806061.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12260095 + ... + 12260225.

Almost surely, 2^1606080960 is an apocalyptic number.

1606080960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213055296).

1606080960 is an abundant number, since it is smaller than the sum of its proper divisors (4820029632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1606080960 is a wasteful number, since it uses less digits than its factorization.

1606080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1606080960 is about 40075.9399141180. The cubic root of 1606080960 is about 1171.0869583185.

It can be divided in two parts, 16060 and 80960, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 1606080960 in words is "one billion, six hundred six million, eighty thousand, nine hundred sixty".